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solniwko [45]
3 years ago
12

What is the Y intercept of a line that has a slope of 1/4 and passes through point 8,three

Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

Answer:5

Step-by-step explanation:

2+2=4+1=5

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5(x+6)-2x=3(x+10) solve for x
Drupady [299]

Answer:

x=all real numbers

Step-by-step explanation:

1. distribute: 5(x+6)-2x=3(x+10)

                      5x+30-2x=3x+30

2. combine like terms 3x+30=3x=30

3. these are equal therefore x=all real numbers

6 0
2 years ago
Read 2 more answers
HELP ASAP PLZ &THANK YOU :)
Andre45 [30]

The standard form:

Ax+By=C

The slope-intercept form:

y=mx+b

m - slope

m=\dfrac{y_2-y_1}{x_2-x_1}

b - y-intercept (0, b).

We have the point (0, 43) → b= 43.

Next point (2, 55). Substitute to the slope formula:

m=\dfrac{55-43}{2-0}=\dfrac{12}{2}=6

Therefore we have:

y=6x+43      <em>subtract 6x from both sides</em>

\boxed{-6x+y=43}


8 0
3 years ago
The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​
Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

<u>Step 1: Define</u>

P = 163 yards

w = 2l + 8

l = l

<u>Step 2: Set up equation</u>

P = 2w + 2l

163 = 2(2l + 8) + l

<u>Step 3: Solve for </u><em><u>l</u></em>

  1. Distribute 2:                              163 = 4l + 16 + l
  2. Combine like terms:                 163 = 5l + 16
  3. Subtract 16 on both sides:        147 = 5l
  4. Divide both sides by 5:             147/5 = l
  5. Rewrite:                                      l = 147/5
  6. Evaluate:                                    l = 29.4 yards

<u>Step 4: Find </u><em><u>w</u></em>

  1. Define:                    w = 2l + 8
  2. Substitute:              w = 2(29.4) + 8
  3. Multiply:                  w = 58.8 + 8
  4. Add:                        w = 66.8 yards
4 0
3 years ago
The scores of 1000 students on a standardized test are normally distributed with a mean of 50 and a standard deviation of 5. wha
ra1l [238]
We are looking to find P(X>60 students)

X is normally distributed with mean 50 and standard deviation 5

We need to find the z-score of 60 students 
Z= \frac{60-50}{5}=2

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228

The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
3 0
3 years ago
Find the volume of each figure. Round your answers to the nearest tenth, if necessary​
olga nikolaevna [1]

Answer:

1.92 m³

hopefully this answer can help you to answer the next question.

5 0
3 years ago
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